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Finding the Fourth Proportional to 445.16, 663.25 and 420.32

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Solution

The fourth proportional to 445.16, 663.25 and 420.32 is: 626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.16 : 663.25 = 420.32 : x
  2. Step 2: Convert to fraction form
    445.16/663.25 = 420.32/x
  3. Step 3: Cross multiply
    445.16x = 663.25 × 420.32
  4. Step 4: Simplify right side
    445.16x = 278,777.24
  5. Step 5: Solve for x
    x = 278,777.24/445.16
  6. Step 6: Final answer
    x = 626.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.